Science fiction at its sense-of-wonder best. A wild chase through the billion worlds of the Tenth Millennium in search of a mythical weapon that could save civilization—or doom it! A DROID AND HIS BOY, ON A SEARCH FOR A LEGENDARY WEAPON Daslakh is an AI with a problem. Its favorite human, a young man named Zee, is in love with a woman who never existed — and he will scour the Solar System to find her. But in the Tenth Millennium a billion worlds circle the Sun—everything from terraformed planets to artificial habitats, home to a quadrillion beings. Daslakh's nicely settled life gets more complicated when Zee helps a woman named Adya escape a gang of crooks. This gets the pair caught up in the hunt for the Godel Trigger, a legendary weapon left over from an ancient war between humans and machines—which could spell the end of civilization. In their search, they face a criminal cat and her henchmen, a paranoid supermind with a giant laser, the greatest thief in history, and a woman who might actually be Zee's lost love. It's up to Daslakh to save civilization, keep Zee's love life on the right track—and make sure that nobody discovers the real secret of the Godel Trigger. Praise for Arkad's World: “Far-flung adventure . . . Cambias offers up an entertaining coming-of-age novel filled with action and surprises. His aliens are suitably non-human in mannerisms, attitudes, and objectives, and his worldbuilding suggests a vast universe ready for further exploration. Readers . . . will find this hits the spot.”—Publishers Weekly “. . . a classic quest story, a well-paced series of encounters with different folk along the way, building momentum toward a final confrontation with Arkad's past . . . [with] a delicious twist to the end.”—ALA Booklist “Cambias has achieved a feat of world-building: an expansive, believable setting with fascinating aliens, compelling mysteries, and a rich sense of history.”—Bookpage “Drop a teenage boy into a distant planet chock full of colorful aliens—with troubles all their own. Stir, flavor, apply heat. A tour de force in the field, and great, quick fun.”—Gregory Benford Praise for the work of James L. Cambias: “Beautifully written, with a story that captures the imagination the way SF should.”—Booklist, starred review “An engaging nail-biter that is exciting, fun and a satisfying read.”—The Qwillery '“An impressive debut by a gifted writer.”—Publishers Weekly, starred review “An exceptionally thoughtful, searching and intriguing debut.”—Kirkus, starred review “James Cambias will be one of the century's major names in hard science fiction.”—Robert J. Sawyer, Hugo Award–winning author of Red Planet Blues “Fast-paced, pure quill hard science fiction. . . . Cambias delivers adroit plot pivots that keep the suspense coming.”—Gregory Benford, Nebula Award-winning author of Timescape
First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite.
Both sides seek the aid of the newly enlightened Ilmatarans. But what this struggle means for the natives—and the future of human exploration—is anything but certain, in A Darkling Sea by James Cambias.
A variant of this example is to consider □[J]U, where we allow the witnessing proofs to be in N; ... J. Recently Graham Leach-Krouse studied an internal version of -validity over ZFC with the von Neumann interpretation.
... the basis of the sole assumption that TNT is (simply) consistent. Rosser's result is therefore a strengthening of Godel's. We aren't particularly interested in the technical details of Rosser's Theorem, but some hint is appropriate.
The question "What is truth?" is a question that Ralph McNeil, a down-to-earth engineering student, has never before had cause to ponder.
The Routledge Companion to Philosophy of Language provides a comprehensive and up-to-date survey of the field, charting its key ideas and movements, and addressing contemporary research and enduring questions in the philosophy of language.
The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory. A large number of additional results is given in the exercises, which are scattered throughout the text.
... WORLD. ONE MAN HAS VOWED TO DESTROY THEM. It's their world. He's going to take it away from them. The Apkallu are masters of magic. Theirs is a secret tradition stretching back to the dawn of civilization. They ... Arkad's World The Initiate.
"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart.
We have added to the research papers of this book the text of a conversation with Ennio De Giorgi about the diffusion and the communication of science and, in particular, of Mathematics.